For complex diseases, recent interest has focused on methods that take into
account joint effects at interacting loci. Conditioning on effects of dise
ase loci at known locations can lead to increased power to detect effects a
t other loci. Moreover, use of joint models allows investigation of the eti
ologic mechanisms that may be involved in the disease. Here we present a me
thod for simultaneous analysis of the joint genetic effects at several loci
that uses affected relative pairs. The method is a generalization of the t
wo-locus LOD-score analysis for affected sib pairs proposed by Cordell et a
l. We derive expressions for the relative risk, lambda(R), to a relative of
an affected individual, in terms of the additive and epistatic components
of variance at an arbitrary number of disease loci, and we show how these c
an be used to fit a likelihood model to the identity-by-descent sharing amo
ng pairs of affected relatives in extended pedigrees. We implement the meth
od by use of a stepwise strategy in which, given evidence of linkage to dis
ease at m - 1 locations on the genome, we calculate the conditional likelih
ood curve across the genome for an mth disease locus, using multipoint meth
ods similar to those proposed by Kruglyak et al. We evaluate the properties
of our method by use of simulated data and present an application to real
data from families with insulin-dependent diabetes mellitus.